Abstract:The core ideas, aspects of application and future trend of development of C-K theory are introduced. In addition, the feasibility and validity of applying C-K theory to the appraisal of systematic innovation methods are mentioned briefly. Subsequently, an analysis and comparison of different systematic innovative methods are carried out based on the C-K theory, depicting their basic procedures to suggest that classical contradiction matrix of TRIZ (Theory of inventive problem solving), together with USIT (Unified systematic inventive thinking), have their own merits, limitations and possible ways of refining. In conclusion, a novel systematic innovative method entitled "CAFE-TRIZ" is proposed, which proves to be idealized in the perspective of C-K theory. A problem that the shell of a flat seaming machine tends to be overheated is analyzed via classical TRIZ and CAFé-TRIZ comparatively. The result demonstrates that the solutions achieved by CAFé-TRIZ have an overwhelming superiority over those achieved by classical TRIZ both qualitatively and quantitatively.